5 citations · 5 across the 8 of their papers we have counts for
9 papers
On the Boolean algebra tensor product via Caratheodory spaces of place functions
Gerard Buskes, Page Thorn
We show that the Carathéodory space of place functions on the free product of two Boolean algebras is Riesz isomorphic with Fremlin's Archimedean Riesz space tensor product of thei…
Two Results on Fremlin's Archimedean Riesz Space Tensor Product
Gerard Buskes, Page Thorn
In this paper, we characterize when, for any infinite cardinal α, the Fremlin tensor product of two Archimedean Riesz spaces is Dedekind α-complete. We also provide an example of a…
Polynomial Valuations on Vector Lattices
Gerard Buskes, Stephan Roberts
We prove that polynomial valuations on vector lattices correspond to orthosymmetric multilinear maps. As a consequence we obtain a concise proof of the equivalence of orthosymmetry…
Characterizing Bounded Orthogonally Additive Polynomials on Vector Lattices
Gerard Buskes, Christopher Schwanke
We derive formulas for characterizing bounded orthogonally additive polynomials in two ways. Firstly, we prove that certain formulas for orthogonally additive polynomials derived i…
Vector lattices and -algebras: the classical inequalities
Gerard Buskes, Christopher Schwanke
We prove an identity for sesquilinear maps from the Cartesian square of a vector space to a geometric mean closed Archimedean (real or complex) vector lattice, from which the Cauch…
Tensor products of f-algebras
G. J. H. M. Buskes, A. W. Wickstead
We construct the tensor product for f-algebras, including proving a universal property for it, and investigate how it preserves algebraic properties of the factors.
Complex Vector Lattices Via Functional Completions
Gerard Buskes, Chris Schwanke
We show that the Fremlin tensor product is not square mean complete when X and Y are uncountable metrizable compact spaces. This motivates the definition of…
Functional Completions of Archimedean Vector Lattices
Gerard Buskes, Chris Schwanke
We study completions of Archimedean vector lattices relative to any nonempty set of positively-homogeneous functions on finite-dimensional real vector spaces. Examples of such comp…
The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square
Qingying Bu, Gerard Buskes, Alexey I. Popov +2
We investigate the relationship between the diagonal of the Fremlin projective tensor product of a Banach lattice with itself and the 2-concavification of .